A 500-turn coil of wire is hinged to the top of a table, as...

A 500-turn coil of wire is hinged to the top of a table, as shown in Figure P17.15. Each side of the movable part of the coil has a length of 0.50 m. (a) In which direction should a magnetic field point to help lift the free end of the coil off the table? (b) Determine the torque caused by a 0.70-T field pointing in the direction described in part (a) when there is a 0.80-A current through the wire and when the coil is parallel to the table.

A 500-turn coil of wire is hinged to the top of a table, as
shown in Figure P17.15. Each side of the movable part of
the coil has a length of 0.50 m. (a) In which direction should
a magnetic field point to help lift the free end of the coil off
the table? (b) Determine the torque caused by a 0.70-T field
pointing in the direction described in part (a) when there is a
0.80-A current through the wire and when the coil is parallel
to the table.

Key Concepts

Torque on a Current Loop

A current loop in a magnetic field experiences a torque that tends to align the loop's magnetic dipole moment with the magnetic field. This torque can be calculated as the cross product of the magnetic dipole moment and the magnetic field, emphasizing how the orientation of the loop relative to the field determines the magnitude and direction of the torque.

Magnetic Dipole Moment

The magnetic dipole moment of a current loop is a measure of the strength and direction of its magnetic properties and is given by the product of the number of turns, the current through the loop, and the area of the loop. It plays a key role in determining both the torque experienced by a loop in a magnetic field and the resultant magnetic interactions.

Magnetic Force on a Current-Carrying Conductor

This concept involves the force experienced by a segment of wire carrying a current when it is placed in a magnetic field. The direction and magnitude of the force can be determined by the formula F = I (L × B), which highlights the dependence on the current, the length and orientation of the wire segment, and the magnetic field. Understanding this force is essential in analyzing how currents interact with fields to produce motion.

Right-Hand Rule

The right-hand rule is a standard method used to determine the direction of the force, magnetic field, or current in electromagnetic interactions. When applied to a current-carrying conductor, the thumb represents the direction of the current while the fingers point in the direction of the magnetic field; the resulting force is then given by the direction of the palm. This rule is fundamental in predicting the behavior of magnetic forces in various configurations.

Transcript

Please give Ace some feedback